Mechanisms for dynamic crack branching in brittle elastic solids: Strain field kinematics and reflected surface waves

Abstract

We report on a numerical simulation study of dynamic fracture in strip-shaped plates in which we implement a fracture criterion that fully respects mode-I symmetry. The crack dynamics is studied as a function of the length of the initial notch. The cracks show accelerated straight motion until branching appears. We show that branching can be triggered by two different mechanisms: namely, the kinematics of the strain field and back-reflected surface waves traveling on the crack lip. We also propose a qualitative explanation for the kinematic branching mechanism in terms of the effects of the lattice discretization on Yoffe's stress field. The kinematic branching mechanism is understood by analyzing the disconnection times of the nodes ahead and aside of the crack tip.